Solve the System for X and Y Using Cramer's Rule $$\begin{array} { r } a x + b y = \frac { a } { b } \\x + y = \frac { 1 } { a }\end{array}$$

question 53

Multiple Choice

Solve the system for x and y using Cramer's rule. Assume a and b are nonzero constants.
- $$\begin{array} { r } a x + b y = \frac { a } { b } \\x + y = \frac { 1 } { a }\end{array}$$

• A) \(\left\{ \left( \frac { a + b } { a b } , - \frac { 1 } { b } \right) \right\}\)
• B) \(\left\{ \left( \frac { \mathrm { a } - \mathrm { b } } { \mathrm { ab } } , \frac { 1 } { \mathrm {~b} } \right) \right\}\)
• C) \(\left\{ \left( \frac { a b } { a + b } , - b \right) \right\}\)
• D) \(\left\{ \left( \frac { a b } { a + b } , - \frac { 1 } { b } \right) \right\}\)

---

Definitions:

Avoidance-Avoidance Conflicts

A psychological conflict that occurs when a person has to choose between two negative options.

Death Rate

The number of deaths in a particular population, scaled to the size of that population, per unit of time.

Cancer

A disease caused by an uncontrolled division of abnormal cells in a part of the body, leading to tumors or blood malignancies.

Self-Efficacy Expectations

An individual's belief in their capacity to execute behaviors necessary to produce specific performance attainments, reflecting confidence in the ability to exert control over one's own motivation, behavior, and social environment.